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Finding the Fourth Proportional to 6,209.98, 9,315.60 and 2,050

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Solution

The fourth proportional to 6,209.98, 9,315.60 and 2,050 is: 3,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.98 : 9,315.60 = 2,050 : x
  2. Step 2: Convert to fraction form
    6,209.98/9,315.60 = 2,050/x
  3. Step 3: Cross multiply
    6,209.98x = 9,315.60 × 2,050
  4. Step 4: Simplify right side
    6,209.98x = 19,096,980
  5. Step 5: Solve for x
    x = 19,096,980/6,209.98
  6. Step 6: Final answer
    x = 3,075.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.